What is meant by “The Ambiguous Case" for the Law of Sines? Please help

Step-by-step explanation:

This is an altitude hypotenuse problem.

Answer:

a) (100-x)/86.6 or x/50

b) 10,000 (86.6^2 + 50^2)

Step-by-step explanation:

To find x you have three options, according to a). So you can use the small triangle, middle or larger triangle

So if you use the small triangle you use the angle of 60 degrees

You have your hypotenuse and you need to find your adjacent

So use cos(60)=x/50

Then use your middle triangle, where you can use 30 and do cos(30) = (100-x)/86.6

for b, use (100-x)^2 = 86.6^2 + 50^2

50^2 = x^2 + 43.3^2

Answer:

D. The mean will increase and the median will remain the same

Step-by-step explanation:

First I’d order them from smallest to largest in the data set:

3, 5, 6, 6, 7, 11

The median here is 6.

Then the mean would be 6.33

Then it says if 3 is removed:

5, 6, 6, 7, 11

So we would know the median is 6

The mean here would be 7

So we can see the mean increases but the median stays the same, therefore the answer is D

Answer:

the answer is A

Step-by-step explanation:

A is the answer my dear

Answer:

C

Step-by-step explanation:

[tex]\frac{35}{100}*1800\\35*18\\[/tex]

630

The portion of protein will be 630.

The “pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numerical problems.

Given that a pie chart showing the distribution of the calories of 1800 in different nutrients, we need to find the portion of protein,

Here the portion of protein = 35%

So,

35 / 100 × 1800 = 630

Hence the portion of protein will be 630.

Learn more about pie chart click;

https://brainly.com/question/1109099

#SPJ2

Answer:

3

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Answer:

x < 11/4

Step-by-step explanation:

hope this is right!

Answer:

Exact Form:

x  =  1/2 , 3/2  

Decimal Form:  x  =  0.5  ,  1.5

Mixed Number Form:  x  =   1/2   1/1,2  

Step-by-step explanation:

Answer:

1212

Step-by-step explanation:

Answer:

The angles are : 30° , 90° , 60° and 120°

Step-by-step explanation:

In a rhombus the obtuse angles measure up to 120° while the acute angles measure up to 60°

In other to find the net measure of the angles

we will draw  altitude from the vertex to form a right angled triangle and it will as well bisect the opposite side.

let the base of the right angled triangle ( opposite the obtuse angle ) = 1/2 x

side( hypothenuse ) of rhombus = x

sine = opposite / hypothenuse

hence sine x =  1/2 x / x

∴ sin x = 1/2

therefore to determine the value of x

sin^-1 ( x ) = sin^-1 ( 1/2 )

hence ; x = 30

given that the sum of the angles in a triangle = 180 . hence the third angle ( the acute angle ) = 180 - 90 - 30 = 60°

Given that the acute angle and the obtuse angle of a rhombus is  supplementary

hence the value of the obtuse angle = 180° - 60° =  120°

Answer:

A) 1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-3)/(4-(-6))

m=5/(4+6)

m=5/10

m=1/2

Answer: The y is going to be 7

Explanation: Because 5y/35 divide 5 both sides cancel the both 5's and y stays by itself and 35/5 equals 7. 7*5= 35

Answer:

1. 15x-10

2. x²-x-12

3. x²-8x+12

4. 2x³+4x²-30x

5. 6x³- 12x²+6x

6. 4x³+12x²-20x

Step-by-step explanation:

4.2x(x+5)(x-3)

= 2x(x²-3x+5x-15)

= 2x(x²+2x-15)

= 2x³+4x²-30x

Answer:

Falta información para darte una respuesta exacta, así que voy a dar una explicación general de este tipo de problemas.

Querés saber cuál es el porcentaje de personas que trabajan y están en el rango de edades entre 31 y 46.

Entonces lo primero que tenemos que hacer es encontrar el número total de personas que trabajan, digamos que es T (esto es el 100%)

Luego hay que encontrar el número total de personas que trabajan y tienen entre 31 y 46, digamos que es N.

Podemos relacionar estas cantidades con porcentajes de la siguiente manera:

N = P

T = 100%

Donde P es el porcentaje que queremos calcular.

Si tomamos el cociente de esas dos ecuaciones, obtenemos:

N/T = P/100%

Resolviendo para P obtenemos:

(N/T)*100% = P

El porcentaje de personas que trabajan y tienen entre 31 y 46 va a ser entonces:

P = (N/T)*100%

Así sabiendo el número total de personas que trabajan y el número de personas que trabajan y además tienen edades entre 31 y 46, podemos calcular el porcentaje que queremos.

Particularmente decis que no sabes si colocar 3% o 4%.

Lo que podria implicar que tambien quizas tengas un problema de redondeo.

Si tenes un numero como:

3.a%

donde a es un digito entre 0 y 9

si a es menor que 5, entonces redondeamos para abajo, y asi obtenemos:

3.a% = 3%

si a es igual a 5 o mayor, redondeamos para arriba, asi obteniendo:

3.a% = 4%.

Answer:

I'm confused on what you're trying to ask

Answer:

[tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].

Step-by-step explanation:

When subtracting fractions with the same denominator, you keep the base the same and subtract the numerators. In this case, [tex]\frac{9}{20} -\frac{5}{20} =\frac{4}{20}[/tex], and [tex]\frac{4}{20}[/tex] can be simplified into [tex]\frac{1}{5}[/tex], so [tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].

Answer:

3

Step-by-step explanation:

18+18 = 36. 42-36 = 6. 6 / 2 = 3

Answer:

s = 3

Step-by-step explanation:

2 sides measure 18 so

42- 18 - 18 = 6

2 sides  =  s

so 2s = 6

divide both sides by 2 and taaadaaa

s = 3

Answer:

They are not equal

Step-by-step explanation:

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Answer: There is no solution, due to the left and right sides not being equal.

Explanation:

I hope this helped!

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- Zack Slocum

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Answer:

90

Step-by-step explanation:

Answer:2.51

Step-by-step explanation:

Answer:

2.8

Step-by-step explanation:

hypotonus is the longest edge of any triangle;

here the tallest edge equals the root of 8

the root of 8 = 2.83

Answer:

x = 8

Steps:

(4x-2) + (17x+14) = 180

4x + 17x -2 + 14) = 180

21x + 12 = 180

21x = 180-12

21x = 168

x = 168/21

x = 8

Answer:

See the explanation below

Step-by-step explanation:

Given data

Amount invested= $700

Time = 1 year

Say the percent increase for both investments is

The representation of the linear investment A is given by the linear function

y=mx+c

here m= the percent increase

        x= the time taken and

        c= the invested amount

By linear increase, any increment in x that is the time will lead to a corresponding increase in the y value which is the final amount

The representation of the exponential investment A is given by the linear function

y=ab^x

here a= the invested amount

        b= the rate

        x= the time

By exponential increase, any increment in x that is the time will lead to a "non-compliant"/ non-corresponding increase in the y value which is the final amount

Answer:

a) 33

Step-by-step explanation:

triangle inequality theorem

- the sum of any two sides of a triangle must be greater than the third

Answer:

6. Line graph

Step-by-step explanation:

It shows how information changes over time

Complete question is;

Find the measures of a positive angle and a negative angle that are co-terminal with each given angle.

8. θ = -25°

9. θ = -390°

Answer:

8) Negative coterminal angle = -385°

Positive coterminal angle = 335°

9) Negative coterminal angle = -750°

Positive coterminal angle = 330°

Step-by-step explanation:

For us to find a positive coterminal angle, we add 360° to the given angle. Whereas to find the negative coterminal angle, we subtract 360 from the given angle.

Thus;

8) for θ = -25° ;

Negative coterminal angle = -25° - 360° = -385°

Positive coterminal angle = -25° + 360° = 335°

9) For θ = -390° ;

Negative coterminal angle = -390 - 360 = -750°

Positive coterminal angle = -390 + 360 = -30°

Since it's negative, we add 360 again till it's positive.

Thus = -30° + 360 = 330°

Answer:

A

Step-by-step explanation:

Your multiplying 5 times every week so it would be 5 times y

9514 1404 393

Answer:

  7

Step-by-step explanation:

There are 7 grid intersection points in the feasible region. They are ...

  (dock workers, forklift operators) = (x, y) = ...

  (8, 0), (9, 0), (10, 0), (7, 1), (8, 1), (6, 2), (5, 3)

Wendy can hire 7 different combinations of workers.

X= 54

hope it helps

Answer:

8x-8

Step-by-step explanation:

if Lana is X year

then that makes Yan 3X-4

the father is twice the sum of their ages

3X-4+X=4X-4

the father being twice

his age should be

8X-8

Answer:

x=6

Step-by-step explanation:

i used an app called math-way hope this  helps.

Answer:

x = 6

Step-by-step explanation:

3(x-4) + 3 = 9

3x - 12 + 3 = 9

3x - 9 = 9

3x = 9 + 9

3x = 18

x = 6

Answer:

tan∠A = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

SOHCAHTOA

O= Opposite

H= Hypotenuse

A = Adjacent

So according to this the 3 is the opposite side and 5 is the hypotenuse.

So we need to find adjacent side for Tan.

For this we will use pythagorean theorem. [tex]a^{2} + b^{2} = c^{2}[/tex] c is the hypotenuse, b is the base.

We are sure that the hypotenuse is 5 but we dont know which side is 3 but it wont matter we can put it in either a or b because it would be adjacent at the end as we already know the other 2.

[tex]3^{2} +b^{2} = 5^{2} \\9 + b^{2} = 25\\b^{2} = 16\\b^{2} = 4^{2} \\b = 4[/tex]

So the adjacent side 4. Now according to TOA tan∠A = [tex]\frac{3}{4}[/tex]